Question

What the slopes and y intercepts for both of these?​

Answer 1

• First graph: slope =
  `(2)/(3)` & y-intercept = (0, -1).
• Second graph: slope = 2 & y-intercept = (0,2)

Explanation:

They're both linear graphs, so they both follow the formula y = mx + b.

The y-intercept is when the graph crosses the y-intercept, so when x = 0.

First graph:

• (x, y₁) = (0, -1)
• (x₂, y₂) = (-3, -3)

Slope(m):
`(y_(2)-y_(1) )/(x_(2)-x_(1) ) =(-3-(-1))/(-3-0) =(-2)/(-3) =(2)/(3)`

y-intercept(b): (0, -1)

Second graph:

• (x, y₁) = (0, 2)
• (x₂, y₂) = (-3, -4)

Slope(m):
`(y_(2)-y_(1) )/(x_(2)-x_(1) ) =(-4-2)/(-3-0) =(-6)/(-3) =2\\`

y-intercept(b): (0, 2)